Question

all algebric formula class 9

Answer 1

(a+b)*2 =a*2 + b*2 +2ab
(a-b)*2 = a*2+b*2 -2ab
(a*2-b*2)=(a+b)(a-b)
(a*3+b*3)=(a+b)(a*2 +b*2 -ab)
(a-b)*3=a*3-b*3-3ab (a+b)
(a+b)*3=a*3+b*3+3ab (a+b)
(a+b+c)*2= a*2 +b*2 +c*2+2ab +2bc +2ca
(a*3-b*3)= (a*3-b*3)(a*2+b*2+ab)
(a*3+b*3+c*3- 3abc)=(a+b+c)(a*2+b*2+c*2-ab-bc-ca)
(a+b+c)=0 so, (a*3 +b*3+c*3)=3abc

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Answer 2

✔ a²-b²= (a+b)(a-b)

✔ (a+b)²= a²+b²+2ab

✔ (a-b)²= a²+b²-2ab

✔ a²+b²= (a-b)²+2ab

✔ (a+b)³= a³+b³+3ab(a+b)

✔ (a-b)³= a³-b³-3ab(a-b)

✔ a³-b³= (a-b)(a²+ab+b²)

✔ a³+b³= (a+b)(a²-ab+b²)

✔ (a+b+c)²= a²+b²+c²+2ab+2bc+2ac

✔ a³+b³+c³-3abc= (a+b+c)(a²+b²+c²-ab-bc-ac)

Hope this helps you......